The solution of the problem:
The diagonals of the rhombus divide the angle of the rhombus in half, since they are bisectors. From the condition of the problem, the angle formed by the diagonal of the rhombus and one of its sides is known.
1. Find what the angle of the rhombus is.
40 * 2 = 80 degrees.
Since the opposite angles of the rhombus are equal, then the other acute angle is 80 degrees.
The sum of all four angles is 360 degrees. The other two obtuse corners of the rhombus are also equal.
2. What is the other angle of the rhombus?
(360 – 80 * 2) / 2 = 100 degrees.
Answer: The angles of the rhombus are 80, 80, 100, 100 degrees.
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